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Finding the Fourth Proportional to 1,736.22, 2,602.85 and 696.99

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Solution

The fourth proportional to 1,736.22, 2,602.85 and 696.99 is: 1,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.22 : 2,602.85 = 696.99 : x
  2. Step 2: Convert to fraction form
    1,736.22/2,602.85 = 696.99/x
  3. Step 3: Cross multiply
    1,736.22x = 2,602.85 × 696.99
  4. Step 4: Simplify right side
    1,736.22x = 1,814,156.94
  5. Step 5: Solve for x
    x = 1,814,156.94/1,736.22
  6. Step 6: Final answer
    x = 1,044.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.